How does the deduction of 4-3 which gives the trajectory of, Physics

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How does the deduction of 4-3 which gives the trajectory of

1. Why do we specify that the foil be thin in experiments intended to check the Rutherford scattering formula?

2. The scattering of a particles at very small angles disagrees with the Rutherford formula for such angles. Explain.

3. How does the deduction of (4-3), which gives the trajectory of a particle moving under the influence of a repulsive inverse square Coulomb force, differ from the deduction of the trajectory of a planet moving under the influence of the gravitational field of the sun?

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